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676753056 = 2535712433
BaseRepresentation
bin101000010101100…
…110111010100000
31202011102121200000
4220111212322200
52341222044211
6151053100000
722525206660
oct5025467240
91664377600
10676753056
11318011651
1216a787600
13aa2900c5
1465c461a0
153e62e656
hex28566ea0

676753056 has 144 divisors (see below), whose sum is σ = 2281091904. Its totient is φ = 193342464.

The previous prime is 676753037. The next prime is 676753061. The reversal of 676753056 is 650357676.

676753056 is a `hidden beast` number, since 6 + 7 + 67 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48216 + ... + 60648.

It is an arithmetic number, because the mean of its divisors is an integer number (15840916).

Almost surely, 2676753056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140545952).

676753056 is an abundant number, since it is smaller than the sum of its proper divisors (1604338848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

676753056 is a wasteful number, since it uses less digits than its factorization.

676753056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 676753056 is about 26014.4778152474. The cubic root of 676753056 is about 877.9640674858.

The spelling of 676753056 in words is "six hundred seventy-six million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 12433 13608 18144 24866 27216 37299 49732 54432 74598 87031 99464 111897 149196 174062 198928 223794 261093 298392 335691 348124 397856 447588 522186 596784 671382 696248 783279 895176 1007073 1044372 1193568 1342764 1392496 1566558 1790352 2014146 2088744 2349837 2685528 2784992 3021219 3133116 3580704 4028292 4177488 4699674 5371056 6042438 6266232 7049511 8056584 8354976 9399348 10742112 12084876 12532464 14099022 16113168 18798696 21148533 24169752 25064928 28198044 32226336 37597392 42297066 48339504 56396088 75194784 84594132 96679008 112792176 169188264 225584352 338376528 676753056